What is the derivative of tan^2(xcos(x)) ?

The derivative of tan^2(xcos(x)) is sin(x)(1+sec^2(x))

What is the first derivative of tan^2(xcos(x)) ?

The first derivative of tan^2(xcos(x)) is sin(x)(1+sec^2(x))

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

\frac{d}{d x} (tan^{2} (x) cos (x))

sin (x) (1 + sec^{2} (x))

Solution steps

\frac{d}{d x} (tan^{2} (x) cos (x))

Simplify

tan^{2} (x) cos (x) : sin (x) tan (x)

= \frac{d}{d x} (sin (x) tan (x))

Apply the Product Rule:

(f \cdot g)^{'} = f^{'} \cdot g + f \cdot g^{'}

f = sin (x), g = tan (x)

= \frac{d}{d x} (sin (x)) tan (x) + \frac{d}{d x} (tan (x)) sin (x)

\frac{d}{d x} (sin (x)) = cos (x)

\frac{d}{d x} (tan (x)) = sec^{2} (x)

= cos (x) tan (x) + sec^{2} (x) sin (x)

Simplify

cos (x) tan (x) + sec^{2} (x) sin (x) : sin (x) (1 + sec^{2} (x))

= sin (x) (1 + sec^{2} (x))

n = 0 \sum \infty 6 (\frac{3}{4})^{n}

\int (ln (11 x))^{2} d x

3 x + 7

- 2.25 cos (1.5 x)

\int_{0}^{33} (x - 1)^{- \frac{1}{5}} d x

What is the derivative of tan^2(xcos(x)) ?
The derivative of tan^2(xcos(x)) is sin(x)(1+sec^2(x))
What is the first derivative of tan^2(xcos(x)) ?
The first derivative of tan^2(xcos(x)) is sin(x)(1+sec^2(x))